Mathematics > Number Theory
arXiv:2510.24271 (math)
[Submitted on 28 Oct 2025 (v1), last revised 24 Jun 2026 (this version, v2)]
Abstract:We provide heuristic computations à la Euler of the regularized infinite products of Gauss and Eisenstein integers and primes. Our approach, yielding explicit expressions, is inspired by the work by Muñoz García and Pérez-Marco, who evaluated the product of all natural primes to $4\pi^2$.
Submission history
From: Jean-Marc Luck [view email]
[v1]
Tue, 28 Oct 2025 10:30:26 UTC (29 KB)
[v2]
Wed, 24 Jun 2026 09:49:06 UTC (27 KB)
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